Subject of the study is a Timoshenko beam with transverse-variable Young's modulus. Problem of vibrations of the beam resting on an inertial Vlasov foundation and subjected to a moving force is solved analytically. The Timoshenko beam's eigenproblem is discussed and the physical sense of the additional band of natural vibrations and the corresponding critical frequency is analytically explained.The impact of the foundation and its parameters on the Timoshenko beam's vibrations forced by moving force is investigated.Dynamic factors relating to beam deflections are analyzed. Two vibration cases are discussed: forced vibrations (when a moving force is applied to the beam) and free vibrations (after the moving force has been left the beam). The damping effect on vibration is taken into account in the problem solution. The results indicate that appropriate selection of the foundation's parameters allows for the beam deflection's significant reduction, while the impact of the shear coefficient in the foundation on the reduction is more pronounced than the impact of other factors. Keywords non-uniform Timoshenko beam, inertial Vlasov foundation, moving force t J E G x t J G t p x

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In the paper vibrations of the Timoshenko beam on an inertial foundation subjected to a moving force are discussed. Considered model of the inertial foundation is described by three parameters. They take into account elasticity, shear and inertia of the subgrade. In the literature such model of the subgrade is called Vlasov or Vlasov-Leontiev model. The Timoshenko beam is traversed by a concentrated load, moving with uniform speed. Response of the beam is found from the governing equations of motion of the problem. Problem of forced vibrations and problem of free vibrations of the beam are solved. Damping of the system is taken into consideration. Solution of the problem is illustrated by numerical example.

This paper presents the capabilities of ABAQUS finite-element program [1] in modelling sandwich beams and plates resting on deformable foundations. Specific systems of sandwich beams and plates separated by an elastic core layer were subjected to the action of point and distributed moving loads. A few theoretical examples are provided to present different techniques of modelling the foundations and the moving loads. The effects of the boundary conditions and of the foundation parameters on the deflections of the analysed structures are also presented.

The article concerns the discussion of a pneumatic tail lift entirely powered by pneumatic devices powered with compressed air from the brake system of truck. The authors try to set up the drive parameters and the size of the engines. For this purpose, a computer simulation of the platform's motion was made on the basis of which the torques of pneumatic engines were determined and the times of falling and lifting.